A magician holds one six- sides die in his left hand and two in his right. what is the probability the number of dice in his left hand is greater than the sum of of the dice in his right. ?
Thursday 7 August 2014
Tuesday 15 July 2014
DATA SUFFICIENCY
1. What is the speed of the train whose length is 210 metres?
I. The train crosses another train (Howrah Express/12869) of 300 metres length running in opposite direction in 10 seconds.
II. The train crosses another train (Howrah Express/12869) running in the same direction at the speed of 60 km/hr in 30 seconds.
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer
Ans - E
2. What is the length of a running train crossing another 180 metre long train running in the opposite direction?
I. The relative speed of the two trains was 150 kmph.
II. The trains took 9 seconds to cross each other.
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer
Ans - E
3. What is the length of a running train?
I. The train crosses a man in 9 seconds.
II. The train crosses a 240 metre long platform in 24 seconds.
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer
Ans - E
4. 8 men and 14 women are working together in a field. After working for 3 days, 5 men and 8 women leave the work. How many more days will be required to complete the work?
I. 19 men and 12 women together can complete the work in 18 days.
II. 16 men can complete two-third of the work in 16 days.
III. In 1 day, the work done by three men in equal to the work done by four women.
A. I only
B. II only
C. III only
D. I or II or III
E. II or III only
Ans - D
5. How many marks did Tarun secure in English?
I. The average mark obtained by Tarun in four subjects including English is 60.
II. The total marks obtained by him in English and Mathematics together are 170.
III. The total marks obtained by him in Mathematics and Science together are 180.
A. I and II only
B. II and III only
C. I and III only
D. All I, II and III
E. None of these
Ans - E
6. In a cricket team, the average age of eleven players in 28 years. What is the age of the captain?
I. The captain is eleven years older than the youngest player.
II. The average age of 10 players, other than the captain is 27.3 years.
III. Leaving aside the captain and the youngest player, the average ages of three groups of three players each are 25 years, 28 years and 30 years respectively.
A. Any two of the three
B. All I, II and III
C. II only or I and III only
D. II and III only
E. None of these
Ans - C
7. Two towns are connected by railway. Can you find the distance between them?
I. The speed of the mail train is 12 km/hr more than that of an express train.
II. A mail train takes 40 minutes less than an express train to cover the distance.
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer
Ans - D
8. The towns A, B and C are on a straight line. Town C is between A and B. The distance from A to B is 100 km. How far is A from C?
I. The distance from A to B is 25% more than the distance from C to B.
II. The distance from A to C is of the distance C to B.
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer
Ans - C
9. Two cars pass each other in opposite direction. How long would they take to be 500 km apart?
I. The sum of their speeds is 135 km/hr.
II. The difference of their speed is 25 km/hr.
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer
Ans - A
10. How much time did X take to reach the destination?
I. The ratio between the speed of X and Y is 3 : 4.
II. Y takes 36 minutes to reach the same destination.
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer
Ans - E
I. The train crosses another train (Howrah Express/12869) of 300 metres length running in opposite direction in 10 seconds.
II. The train crosses another train (Howrah Express/12869) running in the same direction at the speed of 60 km/hr in 30 seconds.
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer
Ans - E
2. What is the length of a running train crossing another 180 metre long train running in the opposite direction?
I. The relative speed of the two trains was 150 kmph.
II. The trains took 9 seconds to cross each other.
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer
Ans - E
3. What is the length of a running train?
I. The train crosses a man in 9 seconds.
II. The train crosses a 240 metre long platform in 24 seconds.
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer
Ans - E
4. 8 men and 14 women are working together in a field. After working for 3 days, 5 men and 8 women leave the work. How many more days will be required to complete the work?
I. 19 men and 12 women together can complete the work in 18 days.
II. 16 men can complete two-third of the work in 16 days.
III. In 1 day, the work done by three men in equal to the work done by four women.
A. I only
B. II only
C. III only
D. I or II or III
E. II or III only
Ans - D
5. How many marks did Tarun secure in English?
I. The average mark obtained by Tarun in four subjects including English is 60.
II. The total marks obtained by him in English and Mathematics together are 170.
III. The total marks obtained by him in Mathematics and Science together are 180.
A. I and II only
B. II and III only
C. I and III only
D. All I, II and III
E. None of these
Ans - E
6. In a cricket team, the average age of eleven players in 28 years. What is the age of the captain?
I. The captain is eleven years older than the youngest player.
II. The average age of 10 players, other than the captain is 27.3 years.
III. Leaving aside the captain and the youngest player, the average ages of three groups of three players each are 25 years, 28 years and 30 years respectively.
A. Any two of the three
B. All I, II and III
C. II only or I and III only
D. II and III only
E. None of these
Ans - C
7. Two towns are connected by railway. Can you find the distance between them?
I. The speed of the mail train is 12 km/hr more than that of an express train.
II. A mail train takes 40 minutes less than an express train to cover the distance.
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer
Ans - D
8. The towns A, B and C are on a straight line. Town C is between A and B. The distance from A to B is 100 km. How far is A from C?
I. The distance from A to B is 25% more than the distance from C to B.
II. The distance from A to C is of the distance C to B.
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer
Ans - C
9. Two cars pass each other in opposite direction. How long would they take to be 500 km apart?
I. The sum of their speeds is 135 km/hr.
II. The difference of their speed is 25 km/hr.
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer
Ans - A
10. How much time did X take to reach the destination?
I. The ratio between the speed of X and Y is 3 : 4.
II. Y takes 36 minutes to reach the same destination.
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer
Ans - E
Sunday 13 July 2014
IMPORTANT FORMULAS : PIPES AND CISTERN
Inlet:
A pipe connected with a tank or a cistern or a reservoir, that fills it, is known as an inlet.
Outlet:
A pipe connected with a tank or cistern or reservoir, emptying it, is known as an outlet.
If a pipe can fill a tank in x hours, then:
part filled in 1 hour = 1/x
If a pipe can empty a tank in y hours, then:
part emptied in 1 hour = 1/y
If a pipe can fill a tank in x hours and another pipe can empty the full tank in y hours (where y > x), then on opening both the pipes, then
the net part filled in 1 hour = (1/x - 1/y)
If a pipe can fill a tank in x hours and another pipe can empty the full tank in y hours (where x > y), then on opening both the pipes, then
the net part emptied in 1 hour = (1/y - 1/x)
A pipe connected with a tank or a cistern or a reservoir, that fills it, is known as an inlet.
Outlet:
A pipe connected with a tank or cistern or reservoir, emptying it, is known as an outlet.
If a pipe can fill a tank in x hours, then:
part filled in 1 hour = 1/x
If a pipe can empty a tank in y hours, then:
part emptied in 1 hour = 1/y
If a pipe can fill a tank in x hours and another pipe can empty the full tank in y hours (where y > x), then on opening both the pipes, then
the net part filled in 1 hour = (1/x - 1/y)
If a pipe can fill a tank in x hours and another pipe can empty the full tank in y hours (where x > y), then on opening both the pipes, then
the net part emptied in 1 hour = (1/y - 1/x)
Thursday 10 July 2014
DATA SUFFICIENCY
1. What is the number?
I. The sum of the two digits is 8. The ratio of the two digits is 1 : 3.
II. The product of the two digit of a number is 12. The quotient of two digits is 3.
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer
Ans - C
2. What is the two-digit number?
I. The difference between the two digits is 9.
II. The sum of the digits is equal to the difference between the two digits.
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer
Ans - E
3. What is the two-digit number whose first digit is a and the second digit is b?. The number is greater than 9.
I. The number is multiple of 51.
II. The sum of the digits a and b is 6.
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer
Ans - A
4. A shopkeeper sells some articles at the profit of 25% on the original price. What is the exact amount of profit? To find the answer, which of the following information given in Statements I and II is/are necessary?
I. Sale price of the article
II. Number of articles sold
A. Only I is necessary
B. Only II is necessary
C. Either I or II is necessary
D. Both I and II are necessary
E. None of these
Ans - D
5. A shopkeeper sells some toys at Rs. 250 each. What percent profit does he make? To find the answer, which of the following information given in Statements I and II is/are necessary?
I. Number of toys sold.
II. Cost price of each toy.
A. Only I is necessary
B. Only II is necessary
C. Both I and II are necessary
D. Either I or II ins necessary
E. None of these
Ans - B
6. A man mixes two types of rice (X and Y) and sells the mixture at the rate of Rs. 17 per kg. Find his profit percentage.
I. The rate of X is Rs. 20 per kg.
II. The rate of Y is Rs. 13 per kg.
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer
Ans - D
7. By selling a product with 20% profit, how much profit was earned?
I. The difference between cost and selling price is Rs. 40.
II. The selling price is 120 percent of the cost price.
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer
Ans - A
8. What is Arun's present age?
I. Five years ago, Arun's age was double that of his son's age at that time.
II. Present ages of Arun and his son are in the ratio of 11 : 6 respectively.
III. Five years hence, the respective ratio of Arun's age and his son's age will become 12 : 7.
A. Only I and II
B. Only II and III
C. Only I and III
D. Any two of the three
E. None of these
Ans - D
9.What is Ravi's present age?
I. The present age of Ravi is half of that of his father.
II. After 5 years, the ratio of Ravi's age to that of his father's age will be 6 : 11.
III. Ravi is 5 years younger than his brother.
A. I and II only
B. II and III only
C. I and III only
D. All I, II and III
E. Even with all the three statements answer cannot be determined.
Ans - A
10. What is the present age of Tanya?
I. The ratio between the present ages of Tanya and her brother Rahul is 3 : 4 respectively.
II. After 5 years the ratio between the ages of Tanya and Rahul will be 4 : 5.
III. Rahul is 5 years older than Tanya.
A. I and II only
B. II and III only
C. I and III only
D. All I, II and III
E. Any two of the three
Ans - E
I. The sum of the two digits is 8. The ratio of the two digits is 1 : 3.
II. The product of the two digit of a number is 12. The quotient of two digits is 3.
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer
Ans - C
2. What is the two-digit number?
I. The difference between the two digits is 9.
II. The sum of the digits is equal to the difference between the two digits.
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer
Ans - E
3. What is the two-digit number whose first digit is a and the second digit is b?. The number is greater than 9.
I. The number is multiple of 51.
II. The sum of the digits a and b is 6.
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer
Ans - A
4. A shopkeeper sells some articles at the profit of 25% on the original price. What is the exact amount of profit? To find the answer, which of the following information given in Statements I and II is/are necessary?
I. Sale price of the article
II. Number of articles sold
A. Only I is necessary
B. Only II is necessary
C. Either I or II is necessary
D. Both I and II are necessary
E. None of these
Ans - D
5. A shopkeeper sells some toys at Rs. 250 each. What percent profit does he make? To find the answer, which of the following information given in Statements I and II is/are necessary?
I. Number of toys sold.
II. Cost price of each toy.
A. Only I is necessary
B. Only II is necessary
C. Both I and II are necessary
D. Either I or II ins necessary
E. None of these
Ans - B
6. A man mixes two types of rice (X and Y) and sells the mixture at the rate of Rs. 17 per kg. Find his profit percentage.
I. The rate of X is Rs. 20 per kg.
II. The rate of Y is Rs. 13 per kg.
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer
Ans - D
7. By selling a product with 20% profit, how much profit was earned?
I. The difference between cost and selling price is Rs. 40.
II. The selling price is 120 percent of the cost price.
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer
Ans - A
8. What is Arun's present age?
I. Five years ago, Arun's age was double that of his son's age at that time.
II. Present ages of Arun and his son are in the ratio of 11 : 6 respectively.
III. Five years hence, the respective ratio of Arun's age and his son's age will become 12 : 7.
A. Only I and II
B. Only II and III
C. Only I and III
D. Any two of the three
E. None of these
Ans - D
9.What is Ravi's present age?
I. The present age of Ravi is half of that of his father.
II. After 5 years, the ratio of Ravi's age to that of his father's age will be 6 : 11.
III. Ravi is 5 years younger than his brother.
A. I and II only
B. II and III only
C. I and III only
D. All I, II and III
E. Even with all the three statements answer cannot be determined.
Ans - A
10. What is the present age of Tanya?
I. The ratio between the present ages of Tanya and her brother Rahul is 3 : 4 respectively.
II. After 5 years the ratio between the ages of Tanya and Rahul will be 4 : 5.
III. Rahul is 5 years older than Tanya.
A. I and II only
B. II and III only
C. I and III only
D. All I, II and III
E. Any two of the three
Ans - E
Wednesday 9 July 2014
TIME AND DISTANCE : IMPORTANT FORMULAS
Speed, Time and Distance:
Speed = Distance/Time
Time = Distance/ speed
Distance = (Speed x Time)
km/hr to m/sec conversion:
x km/hr = x X (5/18) m/sec.
m/sec to km/hr conversion:
x m/sec = x X (18/5) km/hr.
If the ratio of the speeds of A and B is a : b, then the ratio of the
the times taken by then to cover the same distance is 1/a : 1/b or b : a.
Suppose a man covers a certain distance at x km/hr and an equal distance at y km/hr. Then,
the average speed during the whole journey is: [2xy/(x + y)] km/hr.
Speed = Distance/Time
Time = Distance/ speed
Distance = (Speed x Time)
km/hr to m/sec conversion:
x km/hr = x X (5/18) m/sec.
m/sec to km/hr conversion:
x m/sec = x X (18/5) km/hr.
If the ratio of the speeds of A and B is a : b, then the ratio of the
the times taken by then to cover the same distance is 1/a : 1/b or b : a.
Suppose a man covers a certain distance at x km/hr and an equal distance at y km/hr. Then,
the average speed during the whole journey is: [2xy/(x + y)] km/hr.
Sunday 6 July 2014
TIME AND WORK: IMPORTANT FORMULAS
Work from Days:
If A can do a piece of work in n days, then A's 1 day's work =1/n
Days from Work:
If A's 1 day's work =1/n,then A can finish the work in n days.
Ratio:
If A is thrice as good a workman as B, then:
Ratio of work done by A and B = 3 : 1.
Ratio of times taken by A and B to finish a work = 1 : 3.
If A can do a piece of work in n days, then A's 1 day's work =1/n
Days from Work:
If A's 1 day's work =1/n,then A can finish the work in n days.
Ratio:
If A is thrice as good a workman as B, then:
Ratio of work done by A and B = 3 : 1.
Ratio of times taken by A and B to finish a work = 1 : 3.
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